The Spaces $H_1$ and $H_{-1}$

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• Edison Rragami
• Thursday 15 March 2018, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Loren E. Held.

The spaces $H_1$ and $H_{-1}$ are used in probability theory in order to ‘solve’ in greater generality the Poisson Equation for Continuous Time Markov Processes (equations of the form $V = -Lf$. The norm in $H_1$ is the continuous time analogue of the Dirichlet Energy, and $H_{-1}$ is its dual. I will construct these spaces, provide examples and discuss the Resolvent Equation and how it can be used.

This talk is part of the Part III Seminars series.

This talk is included in these lists:

• MR13
• Part III Seminars

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